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If fun is not being bored then this OpenAI RL paper is relevant:
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An agent which learned to play Mario without rewards. Instead, it was incentivized to avoid "boredom" (that is, getting into states where it can predict what will happen next). Discovered warp levels, how to defeat bosses, etc. More details: blog.openai.com/reinforcement-
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Yes, especially for kids. Fun motivates kids to play--playing is fun--and playing is acting out responsibilities and new skills that are adaptive.